Cremona's table of elliptic curves

2730 = 2 · 3 · 5 · 7 · 13

Field	Data	Notes
Atkin-Lehner	2+ 3- 5+ 7- 13-	Signs for the Atkin-Lehner involutions
Class	2730n	Isogeny class
Conductor	2730	Conductor
∏ cp	72	Product of Tamagawa factors cp
deg	6912	Modular degree for the optimal curve
Δ	-3033210136320 = -1 · 28 · 312 · 5 · 73 · 13	Discriminant
Eigenvalues	2+ 3- 5+ 7-  0 13- -6 -4	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-3424,113582]	[a1,a2,a3,a4,a6]
j	-4437543642183289/3033210136320	j-invariant
L	1.47667947613	L(r)(E,1)/r!
Ω	0.73833973806501	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	6	Number of elements in the torsion subgroup
Twists	21840bd1 87360bh1 8190bv1 13650bq1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2730n1

a2	a3	a5	a7	a11	a13	a17	a19	a23	a29	a31	a37	a41	a43	a47	a53	a59	a61	a67	a71	a73	a79	a83	a89	a97
+	-	+	-	0	-	-6	-4	0	6	8	2	6	8	12	-6	-12	14	-4	-12	2	8	0	6	2

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Quadratic twists for elliptic curve 2730n1

-4	8	-3	5	-7	13
21840bd1	87360bh1	8190bv1	13650bq1	19110j1	35490dl1

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Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
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